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Finding the Third Proportional to 161,072 and 354,356

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Solution

The third proportional to 161,072 and 354,356 is: 779,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,072 : 354,356 = 354,356 : x
  2. Step 2: Convert to fraction form
    161,072/354,356 = 354,356/x
  3. Step 3: Cross multiply
    161,072x = 354,356 × 354,356
  4. Step 4: Simplify right side
    161,072x = 125,568,174,736
  5. Step 5: Solve for x
    x = 125,568,174,736/161,072
  6. Step 6: Final answer
    x = 779,577.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.